Geodesic
Toggleability spaces of fences
Alec Mertin1 ; Svetlana Poznanović1
1Clemson University
The electronic journal of combinatorics, Tome 31 (2024) no. 4

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl DOI arXiv
We completely describe the order ideal (resp. antichain) toggleability space for general fences: the space of statistics which are linear combinations of order ideal (antichain) indicator functions and equal to a constant plus a linear combination of toggleability statistics. This allows us to strengthen some homomesies under rowmotion on fences proven by Elizalde et al. and prove some new homomesy results for combinatorial, piecewise-linear, and birational rowmotion.
DOI : 10.37236/13085
Classification : 05E18, 06A07
Mots-clés : fence poset, homomesy, homometry, rowmotion, tiling

Alec Mertin  1   ; Svetlana Poznanović  1

1 Clemson University 
Alec Mertin; Svetlana Poznanović. Toggleability spaces of fences. The electronic journal of combinatorics, Tome 31 (2024) no. 4. doi: 10.37236/13085
@article{10_37236_13085,
     author = {Alec Mertin and Svetlana Poznanovi\'c},
     title = {Toggleability spaces of fences},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {4},
     doi = {10.37236/13085},
     zbl = {1556.05172},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/13085/}
}
TY  - JOUR
AU  - Alec Mertin
AU  - Svetlana Poznanović
TI  - Toggleability spaces of fences
JO  - The electronic journal of combinatorics
PY  - 2024
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.37236/13085/
DO  - 10.37236/13085
ID  - 10_37236_13085
ER  - 
%0 Journal Article
%A Alec Mertin
%A Svetlana Poznanović
%T Toggleability spaces of fences
%J The electronic journal of combinatorics
%D 2024
%V 31
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/13085/
%R 10.37236/13085
%F 10_37236_13085

Cité par Sources :